Constructal optimization of discrete and continuous-variable cross-section conducting path based on entransy dissipation rate minimization

Using constructal entransy dissipation rate minimization method based on discrete variable cross-section conducting path, constructal optimizations of elemental area with variable cross-section conducting path are performed, and the results are compared with the optimization results of elemental area with the constant cross-section conducting path. The comparison shows that the minimum mean temperature difference based on elemental area with variable cross-section conducting path increases and approaches a constant as the assembly's order increases, but the minimum mean temperature difference based on elemental area with constant cross-section conducting path decreases and approaches a constant as the assembly's order increases. The difference between them is caused by the different dimensionless mean temperature difference of the first order assembly. A universal constructal optimization method by self similar organization to improve heat transfer ability and its corresponding rule are proposed. With the constructal optimization method by self similar organization based on entransy dissipation rate minimization objective, the mean temperature difference approaches a constant as the assembly's order increases.